Question : A cuboid of size 50 cm by 40 cm by 30 cm is cut into 8 identical parts by 3 cuts. What is the total surface area (in cm2) of all eight parts?
Option 1: 11750
Option 2: 14100
Option 3: 18800
Option 4: 23500
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Correct Answer: 18800
Solution :
Given: Length, l = 50 cm
Breadth, b = 40 cm
Height, h = 30 cm
Total surface area of cuboid before cutting
= 2(lb + bh + hl)
= 2 × (50 × 40 + 40 × 30 + 30 × 50)
= 9400 cm
2
$\because$ It is cut into 8 identical parts by 3 cuts, the surface area will be doubled.
Thus, 2 × 9400 = 18800 cm
2
Hence, the correct answer is 18800.
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